0.17 is what percent of 2.79 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2.79 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 2.79, so we can write it down as 100%=2.79.
4. We know, that x% equals 0.17 of the output value, so we can write it down as x%=0.17.
5. Now we have two simple equations:
1) 100%=2.79
2) x%=0.17
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=2.79/0.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.17 is what percent of 2.79

100%/x%=2.79/0.17
(100/x)*x=(2.79/0.17)*x       - we multiply both sides of the equation by x
100=16.411764705882*x       - we divide both sides of the equation by (16.411764705882) to get x
100/16.411764705882=x
6.0931899641577=x
x=6.0931899641577

now we have:
0.17 is 6.0931899641577% of 2.79